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Finding the Third Proportional to 20,306 and 47,255

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Solution

The third proportional to 20,306 and 47,255 is: 109,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306 : 47,255 = 47,255 : x
  2. Step 2: Convert to fraction form
    20,306/47,255 = 47,255/x
  3. Step 3: Cross multiply
    20,306x = 47,255 × 47,255
  4. Step 4: Simplify right side
    20,306x = 2,233,035,025
  5. Step 5: Solve for x
    x = 2,233,035,025/20,306
  6. Step 6: Final answer
    x = 109,969.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.